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Finding the Third Proportional to 563,876 and 1,315,756

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Solution

The third proportional to 563,876 and 1,315,756 is: 3,070,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,876 : 1,315,756 = 1,315,756 : x
  2. Step 2: Convert to fraction form
    563,876/1,315,756 = 1,315,756/x
  3. Step 3: Cross multiply
    563,876x = 1,315,756 × 1,315,756
  4. Step 4: Simplify right side
    563,876x = 1,731,213,851,536
  5. Step 5: Solve for x
    x = 1,731,213,851,536/563,876
  6. Step 6: Final answer
    x = 3,070,203.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.